2605224243200 has 312 divisors, whose sum is σ = 6675749662176. Its totient is φ = 1007878144000.

The previous prime is 2605224243131. The next prime is 2605224243217. The reversal of 2605224243200 is 23424225062.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385327820 + ... + 385334580.

Almost surely, 2^{2605224243200} is an apocalyptic number.

2605224243200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605224243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337874831088).

2605224243200 is an abundant number, since it is smaller than the sum of its proper divisors (4070525418976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2605224243200 is an equidigital number, since it uses as much as digits as its factorization.

2605224243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 2605224243200 its reverse (23424225062), we get a palindrome (2628648468262).

The spelling of 2605224243200 in words is "two trillion, six hundred five billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred".